How Can I Preserve UV Maps for Multiple Objects?
You can use data transfert.

Let's take an exemple with a sphere and a icosphere.

The sphere is unwrapped. And we want to unwrap the icosphere similarly.



Place the icosphere at the same position. Select the icosphere and select also the sphere (in this order).



Now click on "data" from the "data transfer" section of the "tools panel". The choose "UVs".



You will directly obtain this :


You can also play with the severall options of the data transfer operator (if needed). Particularly, you can choose the UV map you want (the face you are talking about in your question) as source layer.


Note that finding the good parameters may take time depending of your models.